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Jul
11
comment How to calculate line-length for fixed width koch fractal?
At each recursion level, divide the step length by 3. This is because f+f--f+f essentially moves by 3f (the gap in the middle and the two "detour" steps form an equilateral triangle)
Jul
11
answered How can vectors with different units (position, speed, …) “share” the same space?
Jul
11
comment Is there a prime between $k$ and $\dfrac{11}{9}k$, $\forall k\ge 24$?
@BalarkaSen Only for $n$ large enough and without being specific about "large enough"
Jul
11
comment sequence $x_{n+1} = x_{n} + \sin x_{n}$
Using the same argument with decreasing instead of increasing, we see that $x_n\to\pi $ for all $a\in(0,2\pi)$.
Jul
11
awarded  Nice Answer
Jul
11
answered Are there circles in $\mathbb{R}^d$ taking no rational values?
Jul
11
answered Pirates And Coins No.1
Jul
11
answered What is a short exact sequence telling me?
Jul
11
answered An analytic function satisfies $f(1/z)=f(z) $, if $f$ is real on $\{|z|=1\}$, then the coefficients of expansion are real.
Jul
11
comment Existence of a boundary point
Your proof is fine, its just allows a few shortcuts, as the answers and other comments show
Jul
10
comment Where to post discovered formulae?
I think arxiv, while having a ... wide range of authors, still requires some endorsements/recommendations before you publish, don't they?
Jul
10
comment Algebraic Proof of Sum of Exponential Powers is Product of Exponentials
... but the derivative tricks are much more fun
Jul
10
comment Where to post discovered formulae?
@capturographer Publication need not be in a book, an article in a peer-reviewed yorunal would be good enough - but both would surely be the opposite of not disclosing
Jul
10
comment How to create circles and or sections of a circle when the centre is inaccessible
@DacidButlerUofA Thanks for adding an illustration.
Jul
10
comment For $f, g \in C^1$, $fg' - f'g \neq 0$ implies that the zeros interlace
Considering both questions is also a hint for the first part, as for each $x_0$, at least one of the quotients is defined and has nonzero derivative in a suitable open neighbourhood of $x_0$.
Jul
10
comment Is the zero of a field irreducible?
As @MichaelAlbanese said, the usual variant of Def1 includes the condition that $a$ be non-zero. A related confusion may occur with prime in place of irreducible: We speak of a prime element only if it is nonzero, but the zero ideal is counted as prime ideal.
Jul
10
revised Intersection of an Infinite Indexed Family of Sets
added 1 character in body
Jul
10
answered Why isn't the Cantor Set contradictory?
Jul
10
comment Homomorphism from a commutative group?
Could it be that $f$ is onto?
Jul
10
answered Intersection of an Infinite Indexed Family of Sets